Find the value of x in the parallelogram below.
1 answer:
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Answer:
E = 64.05
NG = 52.29
O = 35.15
Step-by-step explanation:
With the statement we can create a system of 3X3 equations that would be as follows:
E = electricity
NG = natural gas
O = oil
0.35 * E + 0.15 * NG + 0.25 * O = 25
0.35 * E + 0.15 * NG + 0.2 * O = 15
0.1 * E + 0.1 * NG + 0.1 * O = 20
If we pass this system equations to matrix and subtract it from the identity matrix we would have the following:
0.65 * E - 0.15 * NG - 0.25 * O = 25
-0.35 * E + 0.85 * NG - 0.2 * O = 15
-0.1 * E - 0.1 * NG + 0.9 * O = 20
Solving this system of equations around here can be very long and impractical, therefore, I attach a photo of the process:
And the answer is:
E = 64.05
NG = 52.29
O = 35.15
